Analytical Geometry Question With Midpoint

Question

Verify that the center of this circle, with the midpoint at (3, ‐1), lies on the right bisector of the chord AB. Conclude by explaining why your findings verify this. A is (2,-4) B is (4,2).

Answer 1

Your question is not clear, but I will try to help.

Draw a circle and any chord in the circle.

Now draw 3 more lines.

Draw the radii to the points at the end of the chord and through the midpoint of the chord.

You should see that you have 2 congruent right triangles...which verifies that the perpendicular bisector of the chord passes through the center of the circle.

Now if you clarify your question, I think you should be able to answer it.